Mathematical and Computational Applications (Jan 2020)

Maximal Product of Graphs under Vague Environment

  • Behnaz Sheikh Hoseini,
  • Muhammad Akram,
  • Mehrnaz Sheikh Hoseini,
  • Hosein Rashmanlou,
  • Rajab Ali Borzooei

DOI
https://doi.org/10.3390/mca25010010
Journal volume & issue
Vol. 25, no. 1
p. 10

Abstract

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Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of different structural models. In this paper, we present a new product of graphs, namely, maximal product of two vague graphs. Then we describe certain concepts, including strongly, completely, regularity and connectedness on a maximal product of vague graphs. Further, we consider some results of edge regular and totally edge regular in a maximal product of vague graphs. Finally, we present an application for optimization of the biomass based on a maximal product of vague graphs.

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